Dynamics of Cosmic Strings in Schwarzschild Spacetime

Details Dynamics of Cosmic Strings in Schwarzschild Spacetime Dynamics of Cosmic Strings in Schwarzschild Spacetime

1997-06-13

arxiv.org/abs/gr-qc/9706040v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, latex, 3 figures. To appear in Proceedings of Seventh Canadian Conference on General Relativity and Relativistic Ast

Scientific paper

Cosmic strings are topological defects thought to have formed early in the life of the universe. If such objects exist, a study of their interaction with black holes is of interest. The equations of motion of a cosmic string have the form of highly non-linear wave equations. General analytic solutions, except for motion in certain backgrounds such as flat and shockwave spacetimes, remain unknown; consequently, much of the work must be carried out numerically. To do this, an implicit finite difference scheme was developed that involves solving large block tridiagonal systems. This paper discusses the numerical method, its validation against analytic and semi-analytic solutions, and preliminary results on the interaction of a cosmic string with Schwarzschild black holes.

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